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E-commerce today is a separate area of e-business based on all forms of trade in goods and services through the using of electronic media including the Internet. The Internet and e-commerce lead to efficiency improvements, better asset utilization, faster time to market, reduction in total order fulfillment times, and enhanced customer service. The article describes the role of e-commerce as a promising industry in the Ukrainian economy and explores the main trends in the development of e-commerce in the world. Economic-mathematical models of the influence of ecommerce parameters on the indicators of economic development of the Austria, Poland, and Ukraine such as unemployment rate and GDP are constructed on the basis of the production function. The purpose of the article is to construct an economic and mathematical tool for studying the impact of e-commerce on indicators of economic development of the country. The research used the methods of scientific analysis, description, and synthesis in determining the main trends and characteristics of the development of e-commerce in the world; during the construction of economics and mathematical models to identify the impact of e-commerce on indicators of economic development of the country-methods of modeling and statistical analysis. The production function of Koba-Douglas was used in the study of the relationship between the parameters characterizing electron commerce and the indicators reflecting economic development. Calculations and mathematical operations were carried out in Excel and R Studio environments. The main world tendencies of e-commerce development are considered and the main indicators of the e-commerce sector in Ukraine, Poland and Austria are compared. Economic and mathematical models on the influence of electronic commerce parameters on the unemployment rate and on the gross domestic product of Ukraine, Poland, and Austria as indicators of development of countries have been constructed. The study of statistical data confirmed the rapid growth of e-commerce and its impact on the indicators of economic development in the world. We found that at this stage the Austrian e-commerce market is a leader. However, the pace of e-commerce development in Ukraine and Poland exceeds this indicator in Austria, as the e-commerce markets in Ukraine and Poland are at the stage of formation and active growth. The simulation showed that the growth of the Internet-trade per capita contributes to reducing unemployment in Ukraine and Poland, but in Austria, on the contrary, this phenomenon causes an increase in this indicator. The results of the simulation indicate that e-commerce has an impact on the country's development and contributes to an increase in the gross domestic product in all three countries.

Models for analysis of impact of the e-commerce on indicators of economic development of Ukraine, Poland and Austria